Theorems · Definition · Lie groups
ProfiniteGrp.isLimitCone
(P : ProfiniteGrp.{u}) → CategoryTheory.Limits.IsLimit P.coneThe canonical cone over diagram P is a limit cone.
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 112 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopCat.carrierstatement · cited by 3,184
- TopCatstatement · cited by 1,889
- CategoryTheory.Limits.Cone.ptproof · cited by 1,298
- CategoryTheory.Iso.symmproof · cited by 993
- CategoryTheory.Limits.IsLimitstatement · cited by 664
- TotallyDisconnectedSpacestatement · cited by 295
- CompHausLike.toTopstatement · cited by 258
- ProfiniteGrp.toProfinitestatement · cited by 51
- ProfiniteGrpstatement and proof · cited by 47
- CategoryTheory.Limits.IsLimit.ofIsoLimitproof · cited by 39
- CategoryTheory.Limits.Cone.extproof · cited by 34
- OpenNormalSubgroupstatement · cited by 27
Cited by1
Results whose statement or proof uses this declaration.
- ProfiniteGrp.ProfiniteCompletion.liftproof · cited by 3